Let's divide 603999 by 19
We want to divide 603999 by 19.

On to step 1:
If we divide 6 by 19, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 19

Going ahead to step 2:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 57 from 60 and we're left with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 19

Moving on to step 3:
19 can be fit into 33 1 times, resulting in a remainder of 14.
The next digit of our result is 1. 
Result so far: 31.0
The remainder is 14 after subtracting 19 from 33.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 19

Step 4:
19 goes into 149 7 times with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 317.0
Deduct 133 from 149 and we're left with 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 19

On to step 5:
19 can be fit into 169 8 times, resulting in a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 3178.0
Subtracting 152 from 169 leaves us with 17.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 19

On to step 6:
19 can be fit into 179 9 times, resulting in a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 31789.0
Subtracting 171 from 179 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
If we divide 80 by 19, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 31789.4
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
If we divide 40 by 19, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 31789.42
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
If we divide 20 by 19, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 31789.421
If we take 19 away from 20, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
10 divided by 19 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 31789.421
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
19 goes into 100 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 31789.42105
Subtracting 95 from 100 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
If we divide 50 by 19, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 31789.421052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
If we divide 120 by 19, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 31789.4210526
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
19 can be fit into 60 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 31789.42105263
If we take 57 away from 60, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 31789.42105263 and a remainder of 3e-09.